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Finding the Third Proportional to 412,358 and 638,490

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Solution

The third proportional to 412,358 and 638,490 is: 988,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,358 : 638,490 = 638,490 : x
  2. Step 2: Convert to fraction form
    412,358/638,490 = 638,490/x
  3. Step 3: Cross multiply
    412,358x = 638,490 × 638,490
  4. Step 4: Simplify right side
    412,358x = 407,669,480,100
  5. Step 5: Solve for x
    x = 407,669,480,100/412,358
  6. Step 6: Final answer
    x = 988,629.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.